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Mängdlära och kardinalitet: Cantors paradis
Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
2005 (Swedish)Independent thesis Basic level (degree of Bachelor), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

This paper is about basic set theory and cardinalities for infinite sets. One of the results are that the line R and the plane R2 contains exactly the same number of points. Because of that the set theory is described with a formal language this the paper has an appendix about formal languages.

Abstract [sv]

Denna uppsats behandlar grundläggande mängdlära och inriktar sig sedan på kardinaliteter för oändliga mängder. Bland de resultat som redovisas finns bland annat resultatet som säger att linjen R och planet R2 innehåller precis lika många punkter. Då mängdläran beskrivs av ett formellt språk så innehåller uppsatsen en bilaga om formella språk.

Place, publisher, year, edition, pages
2005. , p. 36
Keywords [en]
Mathematics, formal languages, Cantor, set theory, cardinality, continuum hypothesis
Keywords [sv]
MATEMATIK, formella språk, Cantor, mängdteori, kardinalitet, kontinuumhypotesen
National Category
Mathematics
Identifiers
URN: urn:nbn:se:vxu:diva-6OAI: oai:DiVA.org:vxu-6DiVA, id: diva2:206910
Uppsok
fysik/kemi/matematik
Available from: 2005-02-07 Created: 2005-02-07 Last updated: 2010-03-10Bibliographically approved

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
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